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Finding the Fourth Proportional to 14,850.90, 20,496.27 and 9,107.34

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Solution

The fourth proportional to 14,850.90, 20,496.27 and 9,107.34 is: 12,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.90 : 20,496.27 = 9,107.34 : x
  2. Step 2: Convert to fraction form
    14,850.90/20,496.27 = 9,107.34/x
  3. Step 3: Cross multiply
    14,850.90x = 20,496.27 × 9,107.34
  4. Step 4: Simplify right side
    14,850.90x = 186,666,499.62
  5. Step 5: Solve for x
    x = 186,666,499.62/14,850.90
  6. Step 6: Final answer
    x = 12,569.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.